Thierry Platini

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Stochasticity in gene expression gives rise to fluctuations in protein levels across a population of genetically identical cells. Such fluctuations can lead to phenotypic variation in clonal populations; hence, there is considerable interest in quantifying noise in gene expression using stochastic models. However, obtaining exact analytical results for(More)
We study the steady state of a finite XX chain coupled at its boundaries to quantum reservoirs made of free spins that interact one after the other with the chain. The two-point correlations are calculated exactly, and it is shown that the steady state is completely characterized by the magnetization profile and the associated current. Except at the(More)
Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play important roles in controlling noise in gene expression and phenotypic variation. A quantitative understanding of the(More)
Regulatory genes called small RNAs (sRNAs) are known to play critical roles in cellular responses to changing environments. For several sRNAs, regulation is effected by coupled stoichiometric degradation with messenger RNAs (mRNAs). The nonlinearity inherent in this regulatory scheme indicates that exact analytical solutions for the corresponding stochastic(More)
Abstract. We present the results obtained on the magnetisation relaxation properties of an XX quantum chain in a transverse magnetic field. We first consider an initial thermal kink-like state where half of the chain is initially thermalized at a very high temperature Tb while the remaining half, called the system, is put at a lower temperature Ts. From(More)
Motivated by the classification of nonequilibrium steady states suggested by R. K. P. Zia and B. Schmittmann, in J. Stat. Mech. (2007) P07012, we propose to measure the violation of the detailed balance criterion by the p norm (||K*||(p)) of the matrix formed by the probability currents. Its asymptotic analysis, for the totally asymmetric simple exclusion(More)
We study zero-temperature XX chains and transverse Ising chains and join an initially separate finite piece on one or on both sides to an infinite remainder. In both critical and non-critical systems we find a typical increase of the entanglement entropy after the quench, followed by a slow decay towards the value of the homogeneous chain. In the critical(More)
Motivated by biological aspects related to fungus growth, we consider the competition of growth and corrosion. We study a modification of the totally asymmetric exclusion process, including the probabilities of injection alpha and death of the last particle delta . The system presents a phase transition at deltac(alpha), where the average position of the(More)
The removal of pollutants such as sulfur dioxide (SO2) from industrial exhaust before release into the atmosphere is of considerable environmental interest. One means of removing SO2 is through a chemical reaction with water vapor in a porous filter composed of specially-designed solid particles or fibers. A product of this reaction is sulfuric acid which(More)